Generalized Gauss map and geometry of strings

DOI10.1016/0003-4916(91)90227-YzbMath0727.53085MaRDI QIDQ803563

N. E. Zubov

Publication date: 1991

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

string theoryextrinsic curvatureGrassmannian \(\sigma \) -modelPolyakov actionworld sheet

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of global differential geometry to the sciences (53C80)

Related Items

The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model, ONE-LOOP ANALYSIS OF QCD STRINGS WORLD SHEETS IN ℝ⁴ THROUGH A WEIERSTRASS-TYPE REPRESENTATION, Geometric properties of QCD string from Willmore functional

Cites Work

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• The Gauss map of surfaces in \(\mathbb R^ n\)
• Weierstrass formula for surfaces of prescribed mean curvature
• The Gauss Map of Surfaces in R³ and R⁴
• The geometry of the generalized Gauss map